Synchronization of pulse-coupled oscillators and clocks under minimal connectivity assumptions

Journal article (2017)

Authors

A.V. Proskurnikov Team Tamas Keviczky - Mechanical, Maritime and Materials Engineering , Russian Academy of Sciences, ITMO University
Ming Cao Rijksuniversiteit Groningen
Research Group
Team Tamas Keviczky (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2017 A.V. Proskurnikov, Ming Cao
DOI
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https://doi.org/10.1109/TAC.2016.2644538
Synchronization Hybrid systems Event-triggered control Complex networks Pulse-coupled oscillators
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Published Date

2017

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Tamas Keviczky

Abstract

Populations of flashing fireflies, claps of applauding audience, cells of cardiac and circadian pacemakers reach synchrony via event-triggered interactions, referred to as pulse couplings. Synchronization via pulse coupling is widely used in wireless sensor networks, providing clock synchronization with parsimonious packet exchanges. In spite of serious attention paid to networks of pulse coupled oscillators, there is a lack of mathematical results, addressing networks with general communication topologies and general phase-response curves of the oscillators. The most general results of this type (Wang et al., 2012, 2015) establish synchronization of oscillators with a delay-advance phase-response curve over strongly connected networks. In this technical note we extend this result by relaxing the connectivity condition to the existence of a root node (or a directed spanning tree) in the graph. This condition is also necessary for synchronization.

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